What is the answer to |x-1|=|2x-1| ?

The answer to |x-1|=|2x-1| is x=0\lor x= 2/3

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|x-1|=|2x-1|

∣ x - 1 ∣ = ∣ 2 x - 1 ∣

x = 0 or x = \frac{2}{3}

Solution steps

∣ x - 1 ∣ = ∣ 2 x - 1 ∣

Find positive and negative intervals

x < \frac{1}{2}, \frac{1}{2} \leq x < 1, x \geq 1

Solve the inequality for each interval

x = 0 or x = \frac{2}{3} or No Solution

x = 0 or x = \frac{2}{3}

∣ x - 2 ∣ + ∣ x - 6 ∣ = 2

x^{2} + x + 1 = x^{2} + x + 2

∣ x - 6 ∣ + ∣ x - 3 ∣ = 1

∣ x - 3 ∣ - ∣ x - 5 ∣ = 2

x^{2} - 2 x + ∣ x - 3 ∣ = 4

What is the answer to |x-1|=|2x-1| ?
The answer to |x-1|=|2x-1| is x=0\lor x= 2/3
Solve for x: |x-1|=|2x-1|
The solution is x=0\lor x= 2/3